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Quarks, Leptons and Gauge Fields : 2nd Edition :  2nd Edition - Kerson Huang

Quarks, Leptons and Gauge Fields : 2nd Edition

2nd Edition

Paperback Published: October 1992
ISBN: 9789810206604
Number Of Pages: 348

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The main content of this book is an introduction to Yang-mills fields and the standard model of particle physics. A concise introduction to quarks is provided, with a discussion of the representations of SU(3). The standard model is presented in detail, including such topics as the Kobayashi-Maskawa matrix, chiral symmetry breaking and the omega-vacuum. Theoretical topics of a more general nature include path integrals, topological solitons, renormalization group, effective potentials, the axial anomaly and lattice gauge theory. This second edition has been expanded and includes Wilson's renormalization scheme, and its relation to perturbative renormalization; pitfalls in quantizing gauge fields, such as the Gribov ambiguity; the lattice as a consistent regularization; Monte Carlo methods of solution; and the issues, folklores and scenarios of quark confinement.

Preface
Introductionp. 1
Particles and Interactionsp. 1
Gauge Theories of Interactionsp. 6
Notations and Conventionsp. 10
Quarksp. 12
Internal Symmetriesp. 12
Representation of SU(3)p. 17
The Quark Modelp. 22
Colorp. 28
Electromagnetic and Weak Probesp. 33
Charmp. 43
Maxwell Field: U(1) Gauge Theoryp. 47
Global and Local Gauge Invariancep. 47
Spontaneous Breaking of Global Gauge Invariance: Goldstone Modep. 50
Spontaneous Breaking of Local Gauge Invariance: Higgs Modep. 53
Classical Finite-Energy Solutionsp. 55
Magnetic Flux Quantizationp. 56
Soliton Solutions: Vortex Linesp. 58
Yang-Mills Fields: Non-Abelian Gauge Theoriesp. 61
Introductory Notep. 61
Lie Groupsp. 61
The Yang-Mills Constructionsp. 67
Properties of Yang-Mills Fieldsp. 72
Canonical Formalismp. 77
Spontaneous Symmetry Breakingp. 80
Topological Solitonsp. 86
Solotonsp. 86
The Instantonp. 88
The Monopolep. 94
Weinberg-Salam Modelp. 105
The Matter Fieldsp. 105
The Gauge Fieldsp. 108
The General Theoryp. 113
Method of Path-Integralsp. 121
Non-Relativistic Quantum Mechanicsp. 121
Quantum Field Theoryp. 126
External Sourcesp. 128
Euclidean 4-Spacep. 132
Calculation of Path Integralsp. 134
The Feynman Propagatorp. 135
Feynman Graphsp. 137
Boson Loops and Fermion Loopsp. 140
Fermion Fieldsp. 142
Quantization of Gauge Fieldsp. 147
Canonical Quantizationp. 147
Path Integral Method in Hamiltonian Formp. 150
Feynman Path Integral: Fadeev-Popov Methodp. 152
Free Maxwell Fieldp. 156
Pure Yang-Mills Fieldsp. 162
The [theta]-World and the Instantonp. 165
Gribov Ambiguityp. 172
Projection Operator for Gauss' Lawp. 174
Renormalizationp. 177
Charge Renormalizationp. 177
Perturbative Renormalization in Quantum electrodynamicsp. 180
The Renormalization Groupp. 183
Scalar Fieldsp. 188
The Physics of Renormalizationp. 192
Appendix to Chapter 9: Renormalization of QEDp. 201
Method of Effective Potentialp. 210
Spontaneous Symmetry Breakingp. 210
The Effective Actionp. 210
The Effective Potentialp. 212
The Loop Expansionp. 215
One-Loop Effective Potentialp. 218
Renormalizationp. 219
Dimensional Transmutationp. 223
A Non-Relativistic Examplep. 225
Application to Weinberg-Salam Modelp. 227
The Axial Anomalyp. 230
Origin of the Axial Anomalyp. 230
The Triangle Graphp. 231
Anomalous Divergence of the Chiral Currentp. 237
Physical Explanation of the Axial Anomalyp. 238
Cancellation of Anomaliesp. 242
't Hooft's Principlep. 247
Quantum Chromodynamicsp. 252
General Propertiesp. 252
The Color Gyromagnetic Ratiop. 260
Asymptotic Freedomp. 262
The Pion as Goldstone Bosonp. 269
The U(1) Puzzlep. 276
[theta]-Worlds in QCDp. 278
Lattice Gauge Theoryp. 288
Wilson's Lattice Actionp. 288
Transfer Matrixp. 291
Lattice Hamiltonianp. 293
Lattice Fermionsp. 297
Wilson Loop and Confinementp. 299
Continuum Limitp. 303
Monte Carlo Methodsp. 304
Quark Confinementp. 308
Wilson Criterion and Electric Confinementp. 308
String Model of Hadronsp. 311
Superconductivity: Magnetic Confinementp. 312
Electric and Magnetic Order Parametersp. 316
Scenario for Quark Confinementp. 319
Appendix to Chapter 14: Symmetry and Confinementp. 322
Indexp. 327
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789810206604
ISBN-10: 9810206607
Audience: General
Format: Paperback
Language: English
Number Of Pages: 348
Published: October 1992
Publisher: World Scientific Publishing Co Pte Ltd
Country of Publication: SG
Dimensions (cm): 22.61 x 15.24  x 1.78
Weight (kg): 0.52
Edition Number: 2
Edition Type: Revised

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